The Baum-Connes conjecture and Oka's principle

Maria Paula Gomez Aparicio  (Université Paris-Sud)

9:30-10:20, June 25, 2019   Science Building A510

Abstract:

The Baum-Connes conjecture with coefficients is still open for higher rank Lie groups as these groups satisfy a variant of Lafforgue's Strong property (T) which prevents one to apply the methods that have been used so far to prove the conjecture. Nonetheless, a direction that is still open concerns applying the ideas of Bost, who defined a version of Oka principle in Noncommutative Geometry. In this talk, I will give a short survey on the conjecture and I will explain the statement linking it to Oka's principle.

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